Packet Energy Source Three-Row Scan - Ion-Trap Qubits: Sidebands, Shared Modes, and Fluorescence Readout Step by Step

This packet-energy scan treats motional energy as packet index times a fixed spacing source. With spacing fixed at 2 joules, packet indices 0, 2, and 4 give motional energies 0, 4, and 8 joules. Real motional-energy checks depend on mode calibration, cooling state, heating during the pulse, state preparation, readout efficiency, and uncertainty.

Motional energy follows packet index times spacing. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Motional energy is packet index times spacing

The mode spacing stays fixed. The source packet index sets the displayed motional energy.

E_n=n h\nu_m=0\cdot2\ \text{J}=0\ \text{J}

Motional energy is packet index times spacing

The mode spacing stays fixed. The source packet index sets the displayed motional energy.

E_n=n h\nu_m=2\cdot2\ \text{J}=4\ \text{J}

Motional energy is packet index times spacing

The mode spacing stays fixed. The source packet index sets the displayed motional energy.

E_n=n h\nu_m=4\cdot2\ \text{J}=8\ \text{J}

Each packet row follows the same spacing source

The scan varies only the packet index. The motional energy follows the same displayed spacing in every source row.

\begin{array}{c|c|c}n&s&E\\0&2&0\\2&2&4\\4&2&8\\\end{array}